Search a number
-
+
132140313200004 = 223194712331122919
BaseRepresentation
bin11110000010111001010000…
…011011011100010110000100
3122022212111020121220020010020
4132002321100123130112010
5114304441330134400004
61145012231041455140
736555552100553424
oct3602712033342604
9568774217806106
10132140313200004
1139116434a01a2a
12129a18176414b0
135896a1654b595
14248b8a7ac8484
151042415a128d9
hex782e506dc584

132140313200004 has 48 divisors (see below), whose sum is σ = 331460584089600. Its totient is φ = 40840679104416.

The previous prime is 132140313199987. The next prime is 132140313200009. The reversal of 132140313200004 is 400002313041231.

It is a happy number.

It is a super-2 number, since 2×1321403132000042 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132140313200009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6165550744 + ... + 6165572175.

It is an arithmetic number, because the mean of its divisors is an integer number (6905428835200).

Almost surely, 2132140313200004 is an apocalyptic number.

It is an amenable number.

132140313200004 is an abundant number, since it is smaller than the sum of its proper divisors (199320270889596).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132140313200004 is a wasteful number, since it uses less digits than its factorization.

132140313200004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12331122992 (or 12331122990 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 132140313200004 its reverse (400002313041231), we get a palindrome (532142626241235).

The spelling of 132140313200004 in words is "one hundred thirty-two trillion, one hundred forty billion, three hundred thirteen million, two hundred thousand, four".

Divisors: 1 2 3 4 6 12 19 38 47 57 76 94 114 141 188 228 282 564 893 1786 2679 3572 5358 10716 12331122919 24662245838 36993368757 49324491676 73986737514 147973475028 234291335461 468582670922 579562777193 702874006383 937165341844 1159125554386 1405748012766 1738688331579 2318251108772 2811496025532 3477376663158 6954753326316 11011692766667 22023385533334 33035078300001 44046771066668 66070156600002 132140313200004